The structure of mean equicontinuous group actions
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Publication:2143225
DOI10.1007/s11856-022-2292-8zbMath1498.37011arXiv1812.10219OpenAlexW2905828518MaRDI QIDQ2143225
Maik Gröger, Gabriel Fuhrmann, Daniel H. Lenz
Publication date: 31 May 2022
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.10219
Group actions and symmetry properties (58D19) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General theory of group and pseudogroup actions (22F05)
Related Items (9)
Amorphic complexity of group actions with applications to quasicrystals ⋮ Local non-periodic order and diam-mean equicontinuity on cellular automata ⋮ The proximal relation, regionally proximal relation and Banach proximal relation for amenable group actions ⋮ The systems with almost Banach-mean equicontinuity for abelian group actions ⋮ On topological models of zero entropy loosely Bernoulli systems ⋮ Torsion-free $S$-adic shifts and their spectrum ⋮ Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ On mean sensitive tuples of discrete amenable group actions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral notions of aperiodic order
- Isomorphic extensions and applications
- Sequences, discrepancies and applications
- On the table and the chair
- Substitutions in dynamics, arithmetics and combinatorics
- Mean-L-stable systems
- Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks
- \(\mathbb Z^d\) Toeplitz arrays
- Substitution dynamical systems. Spectral analysis
- The geometry of Markoff numbers
- Representation of invariant measures
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Conformal irregularity for Denjoy diffeomorphisms of the 2-torus
- Three distance theorems and combinatorics on words
- Pointwise theorems for amenable groups.
- The structure of tame minimal dynamical systems for general groups
- More on tame dynamical systems
- Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
- Sur les courbes definies par les équations différentielles à la surface du tore
- Measures and stabilizers of group Cantor actions
- Mean equicontinuity, almost automorphy and regularity
- Discrete spectrum for amenable group actions
- A note on mean equicontinuity
- Mathematics of aperiodic order
- Circularly ordered dynamical systems
- Ergodic transformation groups with a pure point spectrum
- Orbit equivalence rigidity of equicontinuous systems
- Notes on the Schreier graphs of the Grigorchuk group
- Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
- Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
- Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture
- Quasi-uniform convergence in compact dynamical systems
- The dynamical properties of Penrose tilings
- Diffeomorphisms of the Torus with Wandering Domains
- Large Symmetric Sets in Amenable Groups and the Individual Ergodic Theorem
- A Characterization of Maximally Almost Periodic Groups
- Auslander systems
- Factors of Toeplitz flows and other almost 1-1 extensions over group rotations
- Quasi-uniform convergence in dynamical systems generated by an amenable group action
- Almost Periodic Functions in a Group. I
- Diffeomorphisms of thek-torus with wandering domains
- Ergodic Properties of Randomly Coloured Point Sets
- An autocorrelation and a discrete spectrum for dynamical systems on metric spaces
- On tameness of almost automorphic dynamical systems for general groups
- Bounded complexity, mean equicontinuity and discrete spectrum
- Almost Automorphic Functions on Groups
- Every Locally Compact Map Group is Unimodular
- Mean equicontinuity and mean sensitivity
- Ergodic Theory
- Ergodic sets
- Irregular model sets and tame dynamics
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